{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "initial_id",
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": ""
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "线性回归",
   "id": "cf9dc730a0f3e0b8"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-06-25T01:10:03.949680Z",
     "start_time": "2025-06-25T01:10:03.876076Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 准备了一些样品作为训练数据集\n",
    "x=np.linspace(-50,50,16)\n",
    "y=13.4*x+38\n",
    "np.random.seed(8888)\n",
    "y_1= 13.4*x+38+(np.random.rand(16)-0.3)*500\n",
    "\n",
    "# 回归拟合工作曲线 建立模型\n",
    "r=np.polyfit(x,y_1,1)\n",
    "print(r)\n",
    "k=r[0]\n",
    "b=r[1]\n",
    "y_2=k*x+b\n",
    "\n",
    "# 缺一步 验证模型的有效性 测试数据集 95%\n",
    "# 预测工作开始\n",
    "x_predict=np.array([-33,-14.5,2.44,31])\n",
    "y_3=k*x_predict+b\n",
    "print(y_3)\n",
    "\n",
    "\n",
    "plt.title(\"xxx\")\n",
    "\n",
    "plt.plot(x,y)\n",
    "plt.scatter(x,y_1)\n",
    "plt.plot(x,y_2,color=\"red\")\n",
    "plt.scatter(x_predict,y_3,color='green')\n",
    "plt.show()"
   ],
   "id": "58b92c5244237f64",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 13.19440222 134.87645218]\n",
      "[-300.53882113  -56.44238004  167.0707936   543.90292104]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 13
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": "sklearn 线性回归",
   "id": "58f37f9940142191"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-06-25T02:50:52.127782Z",
     "start_time": "2025-06-25T02:50:52.055302Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "# import sklearn.linear_model.LinearRegression\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "# 准备了一些样品作为训练数据集\n",
    "x=np.linspace(-50,50,16)\n",
    "print(\"x\",x)\n",
    "y=13.4*x+38\n",
    "np.random.seed(8888)\n",
    "y_1= 13.4*x+38+(np.random.rand(16)-0.5)*500\n",
    "print(\"y_1\",y_1)\n",
    "# 准备测试集合\n",
    "x_test=np.linspace(-50,50,10)\n",
    "print(\"x_test\",x_test)\n",
    "np.random.seed(4444)\n",
    "y_test= 13.4*x_test+38+(np.random.rand(10)-0.5)*500\n",
    "print(\"y_test\",y_test)\n",
    "\n",
    "# -1是缺省值 可以自动计算出\n",
    "x_2d=x.reshape(-1,1)\n",
    "print(x_2d)\n",
    "# 工作曲线\n",
    "# np.polyfit()\n",
    "model=LinearRegression()\n",
    "model.fit(x_2d,y_1)\n",
    "print(\"k b :\",model.coef_,model.intercept_)\n",
    "k=model.coef_[0]\n",
    "b=model.intercept_\n",
    "y_2=k*x+b\n",
    "\n",
    "# 评估模型\n",
    "# 平分 model.score()\n",
    "t= model.score(x_test.reshape(-1,1),y_test)\n",
    "print(t)\n",
    "# 工作曲线 正常测试工作\n",
    "c=model.predict(np.array([10,-1]).reshape(-1,1))\n",
    "print(c)\n",
    "# [166.82047439  21.68204995]\n",
    "\n",
    "plt.title(\"xxx\")\n",
    "plt.plot(x,y)\n",
    "plt.scatter(x,y_1)\n",
    "plt.plot(x,y_2)\n",
    "plt.show()\n"
   ],
   "id": "99659d1f20ff10a8",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x [-50.         -43.33333333 -36.66666667 -30.         -23.33333333\n",
      " -16.66666667 -10.          -3.33333333   3.33333333  10.\n",
      "  16.66666667  23.33333333  30.          36.66666667  43.33333333\n",
      "  50.        ]\n",
      "y_1 [-400.8078402  -445.55648487 -482.20026065 -601.75607629 -489.32132987\n",
      "  -38.31478162  -43.35580575   -2.80210044  -97.8813413   200.31673061\n",
      "  296.36451259  125.85953795  480.14293236  699.64081796  854.04661189\n",
      "  503.64811243]\n",
      "x_test [-50.         -38.88888889 -27.77777778 -16.66666667  -5.55555556\n",
      "   5.55555556  16.66666667  27.77777778  38.88888889  50.        ]\n",
      "y_test [-410.60074713 -671.45127742 -361.54786405 -116.2257788   -25.69763882\n",
      "  312.52196905  139.81422511  256.35569348  400.28755587  672.48208853]\n",
      "[[-50.        ]\n",
      " [-43.33333333]\n",
      " [-36.66666667]\n",
      " [-30.        ]\n",
      " [-23.33333333]\n",
      " [-16.66666667]\n",
      " [-10.        ]\n",
      " [ -3.33333333]\n",
      " [  3.33333333]\n",
      " [ 10.        ]\n",
      " [ 16.66666667]\n",
      " [ 23.33333333]\n",
      " [ 30.        ]\n",
      " [ 36.66666667]\n",
      " [ 43.33333333]\n",
      " [ 50.        ]]\n",
      "k b : [13.19440222] 34.87645217561984\n",
      "0.8795953483299903\n",
      "[166.82047439  21.68204995]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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CfHw8YWFhtGzZkvXr15d4jYKCAh555BFiYmIIDw+nU6dO7N6929eti4iIlGsHjxTyn0/W8NDUlew/VEBydSvLrp3LXRt6YRzcDpE1odtMuHVchQ0y4OMwk5OTQ7NmzQgODuabb75hw4YNvPbaa1StWtVbM3LkSEaPHs24ceNYsWIFDoeDNm3akJeX563p168fs2bNYvr06SxevJhDhw7RsWNHXC6XL9sXEREpt77/Yy9txyxi1uo9WAwYUTebOZaBxPwx1VPQ4P9B76VwWWv/NloGDNM0TV+9+FNPPcUvv/zCzz//fNL9pmkSHx9Pv379ePLJJwHPKExsbCyvvPIKDz/8ME6nk+rVqzN16lTuuusuANLT00lISGDu3Lm0a9fub/vIzc3FbrfjdDqJjIwsvQ8oIiJSxpxHi3jxqw18ttJzhiI5xmDShbOpvvFjT0HVi6DTWLikpf+aLCVn+v3t05GZ2bNn07BhQzp37kyNGjWoV68e7733nnd/WloamZmZtG37v8lINpuNFi1asGTJEgBWrlxJUVFRiZr4+HiSk5O9NccrKCggNze3xENERCTQ/bQxi3ZjFvHZyt0YBoy4Zi9zLAP/F2SuexB6La0QQeZs+DTMbNu2jfHjx1O7dm2+/fZbevbsyaOPPsoHH3wAQGZmJgCxsbElnhcbG+vdl5mZSUhICFFRUaesOd6IESOw2+3eR0JCQml/NBERkTKTl1/EUzN/p/ukFWTm5pMc7WZ58hd02fQfjNw9EFUL7vsKOrwGtgv83W6Z8+nVTG63m4YNGzJ8+HAA6tWrx/r16xk/fjz//ve/vXXGcbcWN03zhG3HO13NoEGD6N+/v/fn3NxcBRoREQlIizfv54nP1pLuzAdgePIeuuwdjbE5AzCgcU+46TkICfdvo37k0zATFxdHUlJSiW1XXXUVM2fOBMDhcACe0Ze4uDhvTVZWlne0xuFwUFhYSE5OTonRmaysLJo2bXrS97XZbNhstlL9LCIiImXpUEExI+b+wYfLdgKQFOVmStznVN/yuacg+lK49S24uIkfuywffHqaqVmzZmzcuLHEtk2bNnHxxRcDkJiYiMPhYMGCBd79hYWFLFy40BtUGjRoQHBwcImajIwMUlNTTxlmREREAtmSrftp//oib5AZlrSTrywDqL7tc8CAJn2h52IFmf/j05GZ//znPzRt2pThw4dz5513snz5ciZMmMCECRMAz+mlfv36MXz4cGrXrk3t2rUZPnw4VapUoWvXrgDY7XYeeOABBgwYQLVq1YiOjmbgwIHUqVOH1q0r/uVmIiJSeRwpLOaVb/5kytIdAFxlL+KDuJlU3zbbUxBzuWc0JqGRH7ssf3waZq677jpmzZrFoEGDeOGFF0hMTOT111/nnnvu8dY88cQTHD16lN69e5OTk0Pjxo2ZP38+ERER3poxY8YQFBTEnXfeydGjR7npppuYPHkyVqvVl+2LiIiUmeVp2QycsZad2UcAGHZFGl32vY5l+z4wLND0UWg5CIJD/dxp+ePTdWbKC60zIyIi5dXRQhejvt3IpCVpmCYkRRYw2TGDGjvnegqqXwm3vg01G/i3UT840+9v3ZtJRETET1buyGbgjN9J238YMBlWewtd9r+JZecBMKzQ/D/Q4gkI0kUtp6MwIyIiUsbyi1yMXrCJ937ehmnCVRFHmRL7CTV2zfcU1LgabnsL4uv5t9EAoTAjIiJShlbvzGHgjLVs3ecZjXnp0j/pemAclt05YAmC6wfC9QMgKMTfrQYMhRkREZEyUFDs4vXvNvPuwq24TbjygiNMrfEx1fd87ylw1PHMjYm7xr+NBiCFGRERER/7ffdBBs5Yy6a9hwCTlxJT6Zr9NpZ0J1iCocWT0LwfWIP93WpAUpgRERHxkcJiN2N/2MzbP23F5Ta5skoeH9T4iBoZCz0FcXXhtrch9mq/9hnoFGZERER8IHWPk4Ez1vJnZh5g8tLFa+h68F0smblgDfGsGdP0UbDqq/h86QiKiIiUoiKXm7d+3MK4H7ZQ7Da5KuwgU6p/RI29iz0FFzb0rOJb40r/NlqBKMyIiIiUkj8zcxnw6VrWp+cCJi8l/EZX53tYsg6B1QY3PgtN+oBFK9iXJoUZERGR81TscvPOwq288f1milwmV4Xm8EH1qVTf96unoGYjz2hM9cv922gFpTAjIiJyHjbvzWPAjLX8vtuJgZuXLlxG19yJWPYdgaAwuOk5aNyzQo7GuNwmy9OyycrLp0ZEKI0So7FajDLvQ2FGRETkHLjcJu/9vI3R8zdR6HKTFLqfKdWmUv3ACk/BRU3h1nFQ7VL/Nuoj81IzGDpnAxnOfO+2OHsog1OSaJ8cV6a9KMyIiIicpa37DjFwxlpW7zyIgZthcUvokjcJy4GjEFwFWg+B63qAxeLvVn1iXmoGvaat4vg7VWc68+k1bRXju9Uv00CjMCMiInKGXG6TSb+kMerbjRQUu7nato/J1aZQPXuVp6DW9dBpLEQn+rdRH3K5TYbO2XBCkAEwAQMYOmcDbZIcZXbKSWFGRETkDKTtP8zjM9by244cLLgZ5lhE17wPMLLzIeQCaDMUGtxfYUdjjlmell3i1NLxTCDDmc/ytGyaXFqtTHpSmBERkQqnNCemut0mU5Zu55V5f5Jf5ObqkL1Mjp5M9YNrPQWXtISUNyHq4tL7AOVYVt6pg8y51JUGhRkREalQSnNi6s4DRxj42VqWp2Vjwc3wGj/R5fBUjIMFEBIB7V6C+veBUfZX8PhLjYjQUq0rDQozIiJSYZTWxFS32+TDZTsY8c2fHCl0USckg0lRk4hxpnoKLr0JUt6Aqgml/yHKuUaJ0cTZQ8l05p903owBOOye0bCyUrFP7ImISKXxdxNTwTMx1eU+WcX/7Mo+QreJy3juy/UUFBYyovp8ZgcN8gQZm92z+F23mZUyyABYLQaDU5IAT3D5q2M/D05JKtP1ZhRmRESkQjibiakn3W+afLRsJ+1fX8SSrQe4Jng3y6qPoEveZAx3IdRuB31+hXrdKtVppZNpnxzH+G71cdhLnkpy2EPL/LJs0GkmERGpIM5nYmr6waM8OfN3ft68nyCKebnaAu46Oh0jrwhC7dD+Fbj27kofYv6qfXIcbZIcWgFYRESktJzLxFTTNJnx225e/GoDeQXFXBu0k4lVJxFzaKOn4IpboOMYiHD4ouWAZ7UYZXb59ekozIiISIVwthNTM535PPX57/y0cR/BFPNK9DzuzP8U41AxhEXBzaOgzr80GhMAFGZERKRCODYxtde0VRhQItD8dWKqxYCZK3czZM568vKLqRu0g4n2/1Lt8GZP0VUp0GE0XFCjjD+BnCuFGRERqTCOTUw9fp0Zx/+tM1P/oih6fPAb3/2RRQhFjIyaS+f8zzAOu6BKNbjlVbj6nxqNCTAKMyIiUqGcbGLqdbWi+HpdBm3GLMJ5tIj6Qdt4L3IS1Y5s9Tzp6n96gkx4jH+bl3OiMCMiIhXOXyem7ssroM9Hq/h2/V5sFDKq6lf8q+BzjCNuCK8OHV6DpFv93LGcD4UZERGpsL76PZ3nvkgl50gR11k3827kJKKPbvfsrNPZc8l1uP+vxpHzozAjIiIVzoFDBTz/5Xq+XpeBjUJes3/J7QVfYBw14YJYz+XWV3bwd5tSShRmRESkQpmXmsEzs1I5cLiQRtaNvBsxiaj8nZ6d13aBdsOhStndN0h8T2FGREQqhJzDhQyevZ7Za9MJI58xkV9wW+EcjHwTIuI8N4a8vJ2/2xQfUJgREZGAt2DDXgZ9vo79hwr4h+UP3on4L1UL9nh21usGbYdBWFW/9ii+ozAjIiIBy3mkiKFz1vP56j1UIZ/XIz7jtqK5UABEXggpb0Lt1v5uU3xMYUZERALSD396RmP25hbQzLKetyL+S9WCDM/OBt2hzYsQGunXHqVsWMrqjUaMGIFhGPTr18+7zTRNhgwZQnx8PGFhYbRs2ZL169eXeF5BQQGPPPIIMTExhIeH06lTJ3bv3l1WbYuISDmTm1/E4zPWcv/k3zicm8ObF0zhw5BhniBjvwju/cIzP0ZBptIokzCzYsUKJkyYwDXXXFNi+8iRIxk9ejTjxo1jxYoVOBwO2rRpQ15enremX79+zJo1i+nTp7N48WIOHTpEx44dcblcZdG6iIiUIws37aPdmEXMWLmbGyy/80vks3Qq/taz87oHofcSuLSVf5uUMufzMHPo0CHuuece3nvvPaKiorzbTdPk9ddf55lnnuH2228nOTmZKVOmcOTIET766CMAnE4nEydO5LXXXqN169bUq1ePadOmsW7dOr777jtfty4iIuVEXn4Rgz7/nfv+u5xDzmzGXfBfPgh5GXthJlS9GO6b41nJ1xbh71bFD3weZvr06UOHDh1o3brkBKy0tDQyMzNp27atd5vNZqNFixYsWbIEgJUrV1JUVFSiJj4+nuTkZG/NyRQUFJCbm1viISIigemXLftp//rPfLx8Fy0ta1gc8TQdi//vH7SNe0LvpZB4g3+bFL/y6QTg6dOns2rVKlasWHHCvszMTABiY2NLbI+NjWXHjh3empCQkBIjOsdqjj3/ZEaMGMHQoUPPt30REfGjwwXFjPjmD6b9upNIDjE+/GNudv0IRUD0JXDrW3BxU3+3KeWAz8LMrl27eOyxx5g/fz6hoaGnrDOOu826aZonbDve39UMGjSI/v37e3/Ozc0lISHhDDsXERF/W7r1AE/MXMuu7KPcZFnJmCqTiSw+ABjQpA+0egZCqvi7TSknfBZmVq5cSVZWFg0aNPBuc7lcLFq0iHHjxrFx40bAM/oSFxfnrcnKyvKO1jgcDgoLC8nJySkxOpOVlUXTpqdO4zabDZvNVtofSUREfOxIYTEj521k8pLtVCWPd6t8SDv3IigGqtX2jMZc1NjfbUo547M5MzfddBPr1q1jzZo13kfDhg255557WLNmDZdccgkOh4MFCxZ4n1NYWMjChQu9QaVBgwYEBweXqMnIyCA1NfW0YUZERALPiu3Z3PzGz0xesp12lhX8fMEgT5AxLNDsMej5s4KMnJTPRmYiIiJITk4usS08PJxq1ap5t/fr14/hw4dTu3ZtateuzfDhw6lSpQpdu3YFwG6388ADDzBgwACqVatGdHQ0AwcOpE6dOidMKBYRkcCUX+Ri1Lcb+e8vaUSZubxXZSpt3L94RmOqX+kZjanZ0N9tSjnm1xWAn3jiCY4ePUrv3r3JycmhcePGzJ8/n4iI/11aN2bMGIKCgrjzzjs5evQoN910E5MnT8ZqtfqxcxERKQ0rd+Tw+Iy1bNt/mFssvzKyygdc4DoIhhWa94MWT0KQpg3I6RmmaZr+bsLXcnNzsdvtOJ1OIiO1IqSIiL/lF7kYs2AT7/28jSjTyciwD7jJXOrZWSMJbnsb4uv5t0nxuzP9/ta9mUREpEyt2XWQgTPWsiUrj06WpQyvMpULXE6wBMH1A+D6gRAU4u82JYAozIiISJkoKHbxxnebeWfhVqqZB5kUNplW5nJwAbF1PKMxcdf87euIHE9hRkREfG7dbicDZ6xl495c/mlZzEth0wh354ElGG54HK7vD9Zgf7cpAUphRkREfKaw2M24H7fw1o9biHEf4IPQSdzASnADcdfCbeMh9mp/tykBTmFGRER8YkN6LgNmrOWPDCedrQsZWuVDqrgPgzXEc5VSs8c0GiOlQmFGRERKVZHLzfiftvLm95up7t7Ph6ETacYaz2jMhQ0868bUuMrfbUoFojAjIiKlZmNmHgNmrCF1j5O7rT8yOOwjwswjYLVBq6ehSV+w6qtHSpd+o0RE5LwVu9y8u2gbr3+3iRquLD4OnUgTfgcTqHkd3Po2VL/c321KBaUwIyIi52Xz3jwGzljL77tzuMf6Pc+GTSfUPApBoXDjc/CPXmDRqu3iOwozIiJyTlxuk/d/3sZrCzYR68pgeuj7NGa9ZzTmoibQaRzEXObvNqUSUJgREZGztnXfIR6fsZbVO7P5t3UBT4d+gs3Mh6AwaD0EGj0EFou/25RKQmFGRETOmMttMumXNEZ9uxGHK50ZtvdoaPzhGY25uDncOhaiL/F3m1LJKMyIiFQCLrfJ8rRssvLyqRERSqPEaKwW46xeY/v+wzz+2VpWbj9Ad+u3PBn6KTazAILDoc1QaPiARmPELxRmREQquHmpGQyds4EMZ753W5w9lMEpSbRPjvvb57vdJh8s3c7L8/4kvng3M20TqGds8ozGJN4AncZCVC3ffQCRv6EwIyJSgc1LzaDXtFWYx23PdObTa9oqxnerf9pAs/PAER7/bC0r0vbzgHUuj9s+I4RCCImAti9Cg+5gnN0Ij0hpU5gREamgXG6ToXM2nBBkwDOoYgBD52ygTZLjhFNObrfJh8t3MmLuH8QV7WSW7V2uNbZ4dl56I6S8CVUTfP0RRM6IwoyISAW1PC27xKml45lAhjOf5WnZNLm0mnf77pwjPDnzd37dksVD1q/5j20mIRSBLRLaDYN692o0RsoVhRkRkQoqK+/UQeZkdaZpMn3FLoZ9/QfxhWl8YXuXOsY2T9FlbSDlDbBf6Kt2Rc6ZwoyISAVVIyL0jOvSDx7lqc/XsWRTBj2tc3jMNotgiiHUDu1fhmu7aDRGyi2FGRGRCqpRYjRx9lAynfknnTdjALGRNnZmH+ahD37jwsJtfGl7h6uN7Z6Cy2+GjmMg8u+veBLxJy0IICJSQVktBoNTkgBPcPkrA8+cmZgLbDw7czX3F3/CV7ZnPEEmLApufw+6fKwgIwFBYUZEpAJrnxzH+G71cdhLnnKKDAumSogVM+N35tie5T/BMwnCBVd2hN7L4Jo7dVpJAoZOM4mIVHDtk+Nok+RgeVo2W7Ly+GJNOut2ZNE3aBZ9bLOx4oawaOjwKlx9u0KMBByFGRGRSsBieK5aem3BJhKObuQr2ztcbuz27Ey6DW55FS6o7tceRc6VwoyISAW3/1ABz85K5cf1O3ks6HMetn3lGY2pEgMdXoOrb/N3iyLnRWFGRKQC+/r3DJ77MpWLjmzga9u7XGbs8exIvgNuHgXh1U7/AiIBQGFGRKQCyj5cyPNfprLg9x30D5rBg7ZvPKMx4TU8l1tf1dHfLYqUGoUZEZEKZl5qJs9+sY6LD6/jG9sELjEyPDuuucuzAF6VaP82KFLKFGZERCqIg0cKGTJ7PfPWpPF40Kf8P9s8LJgQEQcdX4cr2vu7RRGfUJgREakAvtuwl0Gz1pF4aA3zbBOoZez17Kh7j+fmkGFR/m1QxIcUZkREApjzaBEvzNnAN6u28ETQdLrb5nt2RF7ouTFk7Tb+bVCkDCjMiIgEqB//zOKpz3/nkkOrmGebwEXGPs+O+v+Gti95bhIpUgkozIiIBJjc/CJe+moDX/+2mUFBH9Et5HvPDnsCdHoTLr3Rvw2KlDGFGRGRMuRymyxPyyYrL58aEaE0SozGajnz2wcs2rSPJ2f+zqV5K5hve48Ljf2eHQ3vhzYvgC3CR52LlF8KMyIiZWReagZD52wgw5nv3RZnD2VwShLtk09/d+pDBcUM+/oPvlr+J08HfUiXkB89O6peDJ3GwiUtfNm6SLnm07tmjxgxguuuu46IiAhq1KjBbbfdxsaNG0vUmKbJkCFDiI+PJywsjJYtW7J+/foSNQUFBTzyyCPExMQQHh5Op06d2L17ty9bFxEpVfNSM+g1bVWJIAOQ6cyn17RVzEvNOOVzf9myn3ZjFpHx22y+tT1Bl6D/CzKNHoJeSxRkpNLzaZhZuHAhffr04ddff2XBggUUFxfTtm1bDh8+7K0ZOXIko0ePZty4caxYsQKHw0GbNm3Iy8vz1vTr149Zs2Yxffp0Fi9ezKFDh+jYsSMul8uX7YuIlAqX22TonA2YJ9l3bNvQORtwuUtWHC4o5rkvUun1/vf0OzSGySEjiTeyISoRus+FW0aB7QKf9y9S3hmmaZ7sz5dP7Nu3jxo1arBw4UJuuOEGTNMkPj6efv368eSTTwKeUZjY2FheeeUVHn74YZxOJ9WrV2fq1KncddddAKSnp5OQkMDcuXNp167dCe9TUFBAQUGB9+fc3FwSEhJwOp1ERkaWzYcVEfk/S7ceoMt7v/5t3cc9/kGTSz33Svp12wEe/2wtlx9czPDgicQaBzExMP7RC258DkKq+LptEb/Lzc3Fbrf/7fe3T0dmjud0OgGIjvYspZ2WlkZmZiZt27b11thsNlq0aMGSJUsAWLlyJUVFRSVq4uPjSU5O9tYcb8SIEdjtdu8jISHBVx9JRORvZeXl/33R/9UdKSxmyOz1PDzhO/6T9xoTQ14j1jgI1S7DuH8etB+hICNynDILM6Zp0r9/f5o3b05ycjIAmZmZAMTGxpaojY2N9e7LzMwkJCSEqKioU9Ycb9CgQTidTu9j165dpf1xRETOWI2I0DOqyz5cyC1v/Ez6rzP4zvY4t1sXYxoWaPoI9FwMF/3Dx52KBKYyu5qpb9++/P777yxevPiEfYZR8rJE0zRP2Ha809XYbDZsNtu5NysiUooaJUYTZw8l05l/0nkzAOEhVsZ+9StDgqbQKWSpZ2PMFRi3vQ01G5ZZryKBqExGZh555BFmz57Njz/+SM2aNb3bHQ4HwAkjLFlZWd7RGofDQWFhITk5OaesEREpz6wWg8EpSQCc6p9pNxQvYX7IE3SyLvWMxjT/Dzy8SEFG5Az4NMyYpknfvn35/PPP+eGHH0hMTCyxPzExEYfDwYIFC7zbCgsLWbhwIU2bNgWgQYMGBAcHl6jJyMggNTXVWyMiUt61T45jfLf6OOwlTzlVw8lbwa8zPuQNYoxcqJGE8eD30HoIBJ/Z6SmRys6np5n69OnDRx99xJdffklERIR3BMZutxMWFoZhGPTr14/hw4dTu3ZtateuzfDhw6lSpQpdu3b11j7wwAMMGDCAatWqER0dzcCBA6lTpw6tW7f2ZfsiIqWqfXIcbZIcfLx8J2O/30Sjwz8xNHgy0cYhTMOKcX1/uOFxCNJpcpGz4dMwM378eABatmxZYvukSZPo3r07AE888QRHjx6ld+/e5OTk0LhxY+bPn09ExP+W5B4zZgxBQUHceeedHD16lJtuuonJkydjtVp92b6ISKkqKHbx5veb+WzhKoZa/0v7kBWeHbF1MG57C+Ku9W+DIgGqTNeZ8ZczvU5dRMRXUvc4GfDJGq7cP4+hwVOoahzGtARh3PA4NO8PQSH+blGk3DnT72/dm0lExIcKi92M+3ELM35czgvWibQJWeXZ4bjGc6WSo45/GxSpABRmRER8ZEN6LgM+XUNS1tfMC/4Au3EE0xKM0fJJaNYPrMH+blGkQlCYEREpZUUuN+N/2sqn3//Ki9b3aBWy1rMjvh7GrW9DbJJ/GxSpYBRmRERK0cbMPAZ8upqkvbOZGzyNSOMopjUEo9XT0OQRsOqvXZHSpj9VIiKloNjl5t1F2/j0u6W8aHmXG4LXAWBe2NAzN6b6FX7u0D9cbpPladlk5eVTIyKURonRWC2nX+Fd5GwpzIiInKctWXkM+GQNV2fO4uugD7nAyMe0hmLc+AxGkz5gqZzLSMxLzWDonA1kOP93o804eyiDU5Jonxznx86kolGYERE5Ry63yfs/b+OTBYt50XiXZsHrATAT/oFx61sQc5mfO/SfeakZ9Jq26oR7UWU68+k1bRXju9VXoJFSozAjInIOtu47xBOfriYp/TPmBH1MuFGAGRSGcdPzGI0frrSjMeAJeUPnbDjpTTVNPPenGjpnA22SHDrlJKVCYUZE5Cy43CaTfklj+rcLecnyLv8I/gMA8+KmGJ3GQbVL/dyh/y1Pyy5xaul4JpDhzGd5WjZNLq1Wdo1JhaUwIyJyhrbvP8wTM1Zz9e7pzA76lCpGAe7gKlhaD8W47kGw+PTevQEjK+/UQeZc6kT+jsKMiMjfcLtNPli6nY/n/ciLxjs0Ct4IgFnreiydxkJ0op87LF9qRJzZ3b7PtE7k7yjMiIicxs4DR3hixiqSd33El0GfEmoU4Q4Ox9L2RYwG/0+jMSfRKDGaOHsomc78k86bMQCH3XOZtkhpUJgRETkJt9vkw+U7mT73O17kbeoHbwHATGyJ5daxUPUi/zZYjlktBoNTkug1bRUGlAg0x6b7Dk5J0uRfKTX6J4WIyHF25xzhvolL2DNnOJ8bT1LfsgV38AWQ8ibGv79QkDkD7ZPjGN+tPg57yVNJDnuoLsuWUqeRGRGR/2OaJtNX7GL61/MZar5F3eBtnu2XtsbS6Q2w1/Rzh4GlfXIcbZIcWgFYfE5hRkQESD94lKdnriFp23/5NOhzbJZiXCGRWG9+GaNuVzD0BXwurBZDl1+LzynMiEilZpomM1bu5pM53zDEfIs6wds922u3w5ryOkTG+7U/Efl7CjMiUmntzc3nmc9WkbR1Ih8HzSLE4sJlq4r1lpEY19yp0RiRAKEwIyKVjmmazFq9h49nf80Q91tcHbwDAPflt2BNGQMRDj93KCJnQ2FGRCqVrLx8npu5mqQt7/KRdTbBFheu0CisHV7FknyHRmNEApDCjIhUCqZpMnttOtO/nM3zrre4KmgXAO4rU7B2HA0X1PBzhyJyrhRmRKTC23+ogCGfr+KqTW8z1foVQRY3xaHRBKWMxnL1P/3dnoicJ4UZEanQvv49g+lfzOK54nFcHrQHAHfSPwnq8CqEx/i5OxEpDQozIlIhZR8u5MVZK7niz3FMtn6N1WJSHBZDUMoYLEmd/N2eiJQihRkRqXDmpWby6awZPFP0FpcGZQDgSu5M0C0joYpubihS0SjMiEiFcfBIIcO+WMkVG97gfes8LBaToio1CO70BtYrb/F3eyLiIwozIlIhfLdhL5/M/ISni8aRGLQXANc1XQi+eQSERfm5OxHxJYUZEQlozqNFvPzlSi5PHc271vlYLCaFVRyE3DYW6+Vt/d2eiJQBhRkRCVg/bszi0xkf8VThW1wclAVA8bXdCLl5OITa/dydiJQVhRkRCTi5+UWM+nIll68bxfig78ACheHxhPxzLEGXtfZ3eyJSxhRmRCSg/Lx5HzM+ncoThW9RM2g/AMX1uhPS7kUIjfRzdyLiDwozIhIQDhUU89qc36i95mXeDPoRDMi/oCaht79F0CUt/d2eiPiRwoyIlHtLtuxnxidTGFj4FhcGHQCgqMEDhLZ9AWwX+Lk7EfE3hRkR8SuX22R5WjZZefnUiAilUWI0VovnztWHC4p546sVXLZ6BGOCFv7faMxFhN7xNsGJ1/u5cxEpLwImzLz99tuMGjWKjIwMrr76al5//XWuv15/mYkEsnmpGQyds4EMZ753W5w9lMEpSURVCWHmJ/+lf/5bOIJycGNQ3PAhQtsOhpBwP3YtIuVNQISZTz75hH79+vH222/TrFkz3n33XW6++WY2bNjARRdd5O/2ROQczEvNoNe0VZjHbc9w5vPktEU8H/wBI62LwYAjEbWo8q93CLm4iV96FZHyzTBN8/i/S8qdxo0bU79+fcaPH+/ddtVVV3HbbbcxYsSIv31+bm4udrsdp9NJZKSudhDxN5fbpPkrP5QYkTmmjeU3hgX/lxrGQc9oTKNehLR+DkKq+KFTEfGnM/3+LvcjM4WFhaxcuZKnnnqqxPa2bduyZMmSkz6noKCAgoIC78+5ubk+7VFEzs7ytOwTgkwUuQwJ/oBbrZ4/11vc8Ry95U3q/KONP1oUkQBi8XcDf2f//v24XC5iY2NLbI+NjSUzM/OkzxkxYgR2u937SEhIKItWReQMZeWVDDLtLMuZb3uCW61LcJkG44tT6FA4nG2hSX7qUEQCSbkfmTnGMIwSP5umecK2YwYNGkT//v29P+fm5irQiJQjNSJCAaiGk6HBk+loXQbAJveFPF70MGvNy0rUiYicTrkPMzExMVit1hNGYbKysk4YrTnGZrNhs9nKoj0ROQehQQadgn5lsHUS1Yw8ik0L77hSeLP4dgoJxgAcds9l2iIif6fcn2YKCQmhQYMGLFiwoMT2BQsW0LRpUz91JeI7LrfJ0q0H+HLNHpZuPYDLXe7n6J+xgmIXb89Zwt6Jd/Fm0JtUM/L4w53AbYUv8GrxXd4gAzA4Jcm73oyIyOmU+5EZgP79+3PvvffSsGFDmjRpwoQJE9i5cyc9e/b0d2sipep06660T47z6XufbvG60pC6+yBfffQmDx9+lyjLIVxY2Vj7IR7e0ZJdhS5vnaOMPq+IVBwBEWbuuusuDhw4wAsvvEBGRgbJycnMnTuXiy++2N+tiZSaU627kunMp9e0VYzvVt9nX/C+DFFFLjeTvv2VS359lqcsK8EAp/0q7HdPICnuGn7ycYgSkYovINaZOV9aZ0bKu9OtuwJ455AsfvLGUv+iP1WIOvYu5xOi/kh38vW0MfQ4/C524wjFBFHQbCDhNw4Ea/B59S0iFd+Zfn+X+zkzIpXBydZd+SsTz8q4y9OyS/V9XW6ToXM2nBBkjr0nwNA5G8563k6xy82kb35h7zudGHhkDHbjCAerXo2150LC2wxSkBGRUhUQp5lEKrrj110537ozdTYhqsml1c7oNTdl5vLN1Ff5f4feI9JyhCKCKWj+OFVbDQCr/soRkdKnv1lEyoEzXU+ltNddKc0QVexy8/GCJVy85Gkes6wFA7Kr1iGq63sE17jqfFsVETklhRmRcqBRYjRx9lAynfknPeXjq3VXSitEbdmbx/ypr3Bv3vtEWI5SRDD51w8iuuVjGo0REZ/TnBmRcsBqMRic4lm6//jpvb5cd+VYiDrVqxp4rmo6VYhyuU0+/nYxWW+1p/ehsUQYR9kfdS1BfX4h4iadVhKRsqEwI1JOtE+OY3y3+jjsJUdBHPZQn12WfT4haltWLhPHPEOnJbfT1JJKgWEjt8VQYh75EaP6FaXeq4jIqejSbJFyxteL153M2awz43abzPzuZy765UkaGxsA2BdVn5h73sOIucynfYpI5XKm398KMyICnFmI2rE/j++nDOPu3P9SxSgg37CRf8OzVG3RFywa6BWR0nWm3986oS0igOeU06kuv3a7Tb78YREJPz/B/cafYEBm9HXE3jOB0GqXlHGnIiIlKcyIyGnt2p/Hjx+8SGfnJMKMQvKNUI62GIzjhp4ajRGRckFhRkROyjRN5vywkIRFj/NvYxMYkB7dGEe3CYRG1/J3e+fNH3OTRMQ3FGZE5AR7sg+xaMpgbj84BZtRxBEjjCMthhLf4iEwAv8L3593JxeR0qcxYhHxMk2Tb374kQNvtKCL831sRhG7qzUl9NHlxLR8uMIEmV7TVp1wG4djdyefl5rhp85E5FxpZEZEAMjIyWPx5OfpdPADbEYxh40qHGn5IjVveKBChBj4+xtrGnhurNkmyaFTTiIBRGFGpJIzTZMFP/3IhQsH0JltYMDOas258N53Ca9a09/tlSpf3FhTRPxPYUakEtubk8eSKc/SIWcqIYaLQ8YFHG71Ihdd//8qzGjMX/nr7uQi4lsKMyKVkGma/LTwe+J+GsA/2Q4GpFVrQcK947mg6oX+bs9n/HV3chHxLYUZkUpm38E8fp08iPY5HxFsuMg1Ijh843ASm99bIUdj/spfdycXEd/S1UwilYRpmiz6aQE5rzcl5eBUgg0XW2NaEdZvBXHX/7vCBxnw393JRcS3FGZEKoEDB3P59s0+NP3xTi5nJ04jkt2t3+bSPrMItleudVX8cXdyEfEtnWYSqeCWLPyW2B/7057dYMCmmNYk/ns89sga/m7Nb9onx9EmyaEVgEUqCIUZkQoqx5nLb1Oe4MYD07EaJjlGVfJuepnLm3fxd2vlwulurCkigUVhRqQCWrboG2r8MIA27AED/ohpx6X/fouoyOr+bk1EpNQpzIhUIAedTlZPeZwWBz7FYpgcMKLIaz2Sq5rd6e/WRER8RmFGpIL4bdHX1PhhAK3IAAPWxdxC7X+PpVpkjL9bExHxKYUZkQDndB5k7ZQBND8wE4thst+Ixtn6Veo0u8PfrYmIlAmFGZEAtvrnOVT/fgA3sBcMWBOTwpX3vUlMhBZ9E5HKQ2FGJADl5eawbnJ/mmZ/DkCWUY2DN71G3eb/9HNnIiJlT2FGJMCs+/lLqn0/kKZkAbAy5laS7nuDGhFRfu5MRMQ/FGZEAsSh3Gw2TOlHowNfApBhVOfgTa/RoPmtfu5MRMS/FGZEAsD6n2cR88NAGpn7AVgeczvJ940mTqMxIiIKMyLl2ZHcbP6Y8ggNDnwFQLoRS3br12jULMXPnYmIlB8KMyLl1MafZxL1w+M0MA8AsCTmX1xz32jiI+x+7kxEpHxRmBEpZ446D7Dxg77UPTAXgF1GHNmtR9O02S1+7kxEpHyy+OqFt2/fzgMPPEBiYiJhYWFceumlDB48mMLCwhJ1O3fuJCUlhfDwcGJiYnj00UdPqFm3bh0tWrQgLCyMCy+8kBdeeAHTNH3VuojfbPn5Ew6/3oC6B+biNg1+jrkLe/9lXKsgIyJySj4bmfnzzz9xu928++67XHbZZaSmptKjRw8OHz7Mq6++CoDL5aJDhw5Ur16dxYsXc+DAAe677z5M02Ts2LEA5Obm0qZNG1q1asWKFSvYtGkT3bt3Jzw8nAEDBviqfZEyle/cx5YP+pB84FsAthPPgTZjuL55ez93JiJS/hlmGQ5xjBo1ivHjx7Nt2zYAvvnmGzp27MiuXbuIj48HYPr06XTv3p2srCwiIyMZP348gwYNYu/evdhsNgBefvllxo4dy+7duzEM42/fNzc3F7vdjtPpJDIy0ncfUOQcbFv0MVV/fIpo8yAu02BRzN3Uv28kdv2uikgld6bf3z47zXQyTqeT6Oj/LbO+dOlSkpOTvUEGoF27dhQUFLBy5UpvTYsWLbxB5lhNeno627dvP+n7FBQUkJubW+IhUt4UOPfyx9g7uOSHnkSbB9lGTVa1+ZRWj7yjICMichbKLMxs3bqVsWPH0rNnT++2zMxMYmNjS9RFRUUREhJCZmbmKWuO/Xys5ngjRozAbrd7HwkJCaX5UUTO245FH3L09eu46sB3FJsWFlTrRnT/X7mueVt/tyYiEnDOOswMGTIEwzBO+/jtt99KPCc9PZ327dvTuXNnHnzwwRL7TnaayDTNEtuPrzl2ZuxUp5gGDRqE0+n0Pnbt2nW2H1PEJwqde9k49p9c/ENvqppOtnARK9rMoM0jb1E1MsLf7YmIBKSzngDct29f7r777tPW1KpVy/vf6enptGrViiZNmjBhwoQSdQ6Hg2XLlpXYlpOTQ1FRkXf0xeFwnDACk5XluSfN8SM2x9hsthKnpUT8zjTZtWgqkT89zRVmHkWmle9i7qHxfSO4LPICf3cnIhLQzjrMxMTEEBMTc0a1e/bsoVWrVjRo0IBJkyZhsZQcCGrSpAnDhg0jIyODuLg4AObPn4/NZqNBgwbemqeffprCwkJCQkK8NfHx8SVCk0h5VeTMYMeUnlyW/RMAG6nFvtajufn6m/zbmIhIBeGzOTPp6em0bNmShIQEXn31Vfbt20dmZmaJUZa2bduSlJTEvffey+rVq/n+++8ZOHAgPXr08M5a7tq1Kzabje7du5OamsqsWbMYPnw4/fv3P6MrmUT8xjRJXzSJ/Ncbcln2TxSZVuZEd6fafxbTXEFGRKTU+Gydmfnz57Nlyxa2bNlCzZo1S+w7NufFarXy9ddf07t3b5o1a0ZYWBhdu3b1rkMDYLfbWbBgAX369KFhw4ZERUXRv39/+vfv76vWRc5bcc5udk3tSWL2zwBsIJGsm8bQ8fqWCuEiIqWsTNeZ8RetMyNlxjTZu2gi4T89zwXmYQrMIOZG/5tm971Ajaqa4CsicjbO9Ptb92YSKSWunF3smfoQF2UvAWAdl7L3xtHcdkMLjcaIiPiQwozI+TJNshZO4IKFg7nIPEqBGcyX0d1pcd8Q6lTVlUoiIr6mMCNyHlzZO8iY9hA1s38FYK1Zm4xWr9G5xQ0ajRERKSMKMyLnwu1m/8J3CF/0AjXNo+SbwXwe9f9odd9gro3SaIyISFlSmBE5S+4Daeyd1oO4nBUArDKvIKPFq3Rpdb1GY0RE/EBhRuRMud1k//Q2VX5+kTgzn6NmCDOq3s+N/36W+tV0pZKIiL8ozIicAff+rez7sAexOZ67ua8wr2LPDaO498bmGo0REfEzhRmR03G7yPlxLFUWDyfWLOCwaeOTqg/Q5t/PcF01zY0RESkPFGZETsHcv5l9H/agRs5qAJaayaRf/wrdb2yGxaLRGBGR8kJhRuR4bhfOH18nbPHL1DALOWSG8qG9B+3ufYom1TUaIyJS3ijMiPyFmfUn2R/1oNrB3wFY7K7D7uYv06O1RmNERMorhRkRAFcxeT+MJvSXkVSjiFwzjGmRPWh/7xM0r6ErlUREyjOFGan0zL3ryfmoB9HO9QAsdNdld/PhPNy6KVaNxoiIlHsKM1J5uYo49P0oQpe8RjTF5JpVmBT5MB269adFrO6uLiISKBRmpFIyM37HOf0hqjr/AOAHd312NhtOn9aNCbJa/NydiIicDYUZqVyKCzn8/SuELh1DVVwcNMOZGNGTjvf048Y4jcaIiAQihRmpPNLX4Jz+EPbcjQDMdzdkV5OXeLRtY4I1GiMiErAUZqTiKy7gyHcjsP36BnbcZJsXMOGCXnTq+ghtL7T7uzsRETlPCjNSse1ZSd4nDxORuxmAua7G7PzHC/Rv14iQII3GiIhUBAozUjEV5ZO/4CVClr9FBG72m5G8E96b2+7pzS0ajRERqVAUZqTi2bWCQ58+xAV52wCY42rCzsZDebx9Q2xBVj83JyIipU1hRiqOoqMUzH+R4BXjuQA3+0w746r04fauD5OSUNXf3YmIiI8ozEjFsPNXDs/oSXheGgCzXM3Z0eh5BrVvSGiwRmNERCoyhRkJbIVHKJg/hODfJhCOSaYZxZtV+vCvLg/yz4ui/N2diIiUAYUZCVzbf+HoZz0JO7QTgBmuG9jR4Bme73CdRmNERCoRhRkJPAWHKPx2MCGr3icMSDejeT20D5273E/nWtH+7k5ERMqYwowElm0Lyf+8D6GHdgHwcXErtjcYxJAODagSol9nEZHKSH/7S2AoyKNo3rMEr55MKLDbjOG10D7c9e/76HJJNX93JyIifqQwI+Xf1h8o+LwPtsPpAEwrvom0ek/yUscGhNv0KywiUtnpm0DKr3wnxfOeIWjNVGzATnd1Rtn6cne3bnS7LMbf3YmISDmhMCPl0+YFFMx6BNuRDAAmF7cl7doBDE9pQERosJ+bExGR8kRhRsqXozkUfzOIoN8/xgZsd8fyiq0vXbp2ofvl1f3dnYiIlEMKM1J+bPyGwi8eJeRoFm7TYJKrPduu+Q+vdKpPpEZjRETkFBRmzoPLbbI8LZusvHxqRITSKDEaq8Xwd1uB50g2rrlPYk39lBBgqzuOl0P60rXLnTxwZQ1/dyciIuWcpSzepKCggLp162IYBmvWrCmxb+fOnaSkpBAeHk5MTAyPPvoohYWFJWrWrVtHixYtCAsL48ILL+SFF17ANM2yaP2U5qVm0PyVH+jy3q88Nn0NXd77leav/MC81Ay/9hVw/viKorGNsKZ+iss0eLe4AxOSpvBq/4dppSAjIiJnoExGZp544gni4+NZu3Ztie0ul4sOHTpQvXp1Fi9ezIEDB7jvvvswTZOxY8cCkJubS5s2bWjVqhUrVqxg06ZNdO/enfDwcAYMGFAW7Z9gXmoGvaat4vg4lenMp9e0VYzvVp/2yXF+6S1gHD6Aa+7jWNfPJBjY7L6QYcF9ueeuO3g4Kdbf3YmISADxeZj55ptvmD9/PjNnzuSbb74psW/+/Pls2LCBXbt2ER8fD8Brr71G9+7dGTZsGJGRkXz44Yfk5+czefJkbDYbycnJbNq0idGjR9O/f38Mo2xP67jcJkPnbDghyACYgAEMnbOBNkkOnXI6lfVfUDRnAMH5+z2jMa4Utib1Ycyt9YkKD/F3dyIiEmB8eppp79699OjRg6lTp1KlSpUT9i9dupTk5GRvkAFo164dBQUFrFy50lvTokULbDZbiZr09HS2b99+0vctKCggNze3xKO0LE/LJsOZf8r9JpDhzGd5WnapvWeFcWgfrk/ugxn3EZy/nz/dCdxnHcEld4/kta7/UJAREZFz4rMwY5om3bt3p2fPnjRs2PCkNZmZmcTGljylEBUVRUhICJmZmaesOfbzsZrjjRgxArvd7n0kJCSc78fxyso7dZA5l7pKwTQhdSbF4xph/eMLik0LbxbfxvjL3+eN/vfrlJyIiJyXsw4zQ4YMwTCM0z5+++03xo4dS25uLoMGDTrt653sNJFpmiW2H19zbPLvqU4xDRo0CKfT6X3s2rXrbD/mKdWICC3Vugovby/u6d3gs/sJys9mg/tiulle5pI7R/BGt39Q7QLb37+GiIjIaZz1nJm+ffty9913n7amVq1avPTSS/z6668lTg8BNGzYkHvuuYcpU6bgcDhYtmxZif05OTkUFRV5R18cDscJIzBZWVkAJ4zYHGOz2U5439LSKDGaOHsomc78k86bMQCH3XOZdqVmmrBuBq6vH8dacJAi08q44tvYfEUPxv6zPtUjFGJERKR0nHWYiYmJISbm7++L8+abb/LSSy95f05PT6ddu3Z88sknNG7cGIAmTZowbNgwMjIyiIvznGqYP38+NpuNBg0aeGuefvppCgsLCQkJ8dbEx8dTq1ats23/vFktBoNTkug1bRUGlAg0x8aJBqckVe7Jv7kZuOf0w7J5HlYg1V2LoZY+dOvcgX7Xxpf5pG0REanYDLOMFmzZvn07iYmJrF69mrp16wKeS7Pr1q1LbGwso0aNIjs7m+7du3Pbbbd5L812Op1cccUV3HjjjTz99NNs3ryZ7t278/zzz5/xpdm5ubnY7XacTieRkZGl8nnmpWYwdM6GEpOB4+yhDE5JqrxzQEwT1n6Ma+5TWAudFJpW3ii+gy217+fF2+tRI1Kn3kRE5Myd6fe3X1cAtlqtfP311/Tu3ZtmzZoRFhZG165defXVV701drudBQsW0KdPHxo2bEhUVBT9+/enf//+fuwc2ifH0SbJ4ZcVgMvlysPOPZhzHsPYsgArsNZ9CUMtvel2x80MrHehRmNERMRnymxkxp98MTLjL+VuRMg0YfVUXPOexlqYR4EZxOvF/2LTpd0Zdkc9HHaNxoiIyLk50+/vMrmdgZSOYysPH7/OzbGVh8v8VgoHd2FOvR1mP4K1MI/V7svozEgS//ks7/+/fyjIiIhImdCNJgNEuVp52DRh5STc3z6Lpegw+WYwrxV3ZmPivbzzr3rEVw3z7fuLiIj8hcJMgDiblYebXFrNd43k7MCc/QhG2kIswAr35QymF/fe2pqnr0vQ3BgRESlzCjMBwu8rD7vd8NtE3Auex1J0hKNmCKOK72LjxV2Y0LkeNaNOvF2FiIhIWVCYCRB+XXk4exvml30xdvyCBVjmvpLB9OKelFY82+giLP6+kkpERCo1hZkA4ZeVh91uWP4u7u+GYik+ymHTxivFd7Mp4S4mdK7HRdU0GiMiIv6nq5kCxLGVh+F/Kw0f45OVhw9sxZx8C8x7CkvxUZa4kujkHsUlt/yHjx5qqiAjIiLlhsJMAGmfHMf4bvVPuOTZYQ9lfLf6pbPOjNsFS8Zivt0UY+dSDpmhPFN0P2PiRjHh0Tu4whHJnN/TWbr1AC53hV+iSEREAoBOMwUYn648vG8T5pe9MXavwAAWueow2HyIe9o3p5k9lG7vLys/i/WVgXK50rKIiJxAKwALuIph6VjMH0dguArINcMYVtyNTfG38eqdddm8N49e01adMFfn2Nd6qY0KlSPlbqVlEZFKSCsAy5nJ+gNzYhv4bgiGq4AfXdfS0TWKS9r24rNezahVLfy0i/WBZ7G+inTKqdyttCwiIqel00yVlasIfnkdc+FIDFchuWYVXii+l82OFCbeWZfasREALN16oHws1ldGytVKyyIickYUZiqjzFTP3JiMtRjAd656DHX3oEubxrx8/SUEWf83YOf3xfrKWLlZaVlERM6YwkxlUlwIi0djLnoVw13EQTOcIUX3scVxM+/fWY8rHBEnPMWvi/X5QWULbyIiFYHCTGWRsRa+6AN712EA37oaMtR9P11uasSolpcSbD359Cm/LNbnR5UtvImIVAQKMxVdcSEsGoW5eDSGu5hs8wIGF3VnS412vH9nXZLiT39117HF+npNW4UBJQKNTxbr87PKFt5ERCoCXc1Uke1ZBRNawKKRGO5ivnY1on3RKBJb3ceXfZv/bZA5pkwW6ysnynylZREROW9aZ6YiKi6An17G/OUNDNPFfjOS54u6s7V6G16781qSL7Sf08tWpkXktM6MiIj/nen3t8JMRbN7JXzZG/b9CcBsVxNeKL6Pu1rW49GbamMLsvq5wcBRmcKbiEh5dKbf35ozU1EUHYUfh2MuHYdhutln2nm26H62xrRiYudruTahqr87DDhWi6HLr0VEAoDCTEWwcxl82QcObMYAPnc156Xie+l8w7W80fpyQoM1GiMiIhWXwkwgKzwCP7yE+evbGJjsNavydNEDpEXfwHudr6XBxVH+7lBERMTnFGYC1Y4lntGY7G0YwIziG3jJ1Y3OzerwVrsrNBojIiKVhsJMoCk8DN8NxVw+AQOTDDOaQUUPsj2qKe93vpbramn9ExERqVwUZgJJ2s8wuy/kbMcAphe3ZFhxN+5omsTb7a+gSoj+d4qISOWjb79AUJAHCwbDbxMB2GNWY1DRg6RV/Qfv/eta/nGJrrgREZHKS2GmvNv6I8x+FJw7Afiw+CZGFHfhn/+4ivE3X0m4Tf8LRUSkctM3YXmVnwvzn4VVUwDY5a7Ok8U92BF5He/+6xqaXRbj5wZFRETKB4WZ8mjLdzD7McjdDcCU4ja8UtyFWxtdzru3XElEaLCfGxQRESk/FGbKk6MH4dtnYM00AHaYNXiy6CF2RNTnnTuu4YbLq/u3PxERkXJIYaa82PQtzHkM8jJwYzC5uB2jiu8kpeFlTOiYRKRGY0RERE5KYcbfjubAvEGw9mMA0twOHi96iF0R1/L27dfQ6soafm5QRESkfFOY8ac/58JX/eDQXtwYvF98C6OL/8Ut9S9hYsersVfRaIyIiMjfUZjxhyPZ8M0TsG4GAFvMeJ4ofIid4XUYe3sd2iTF+rlBERGRwGHx9Rt8/fXXNG7cmLCwMGJiYrj99ttL7N+5cycpKSmEh4cTExPDo48+SmFhYYmadevW0aJFC8LCwrjwwgt54YUXME3T1637xobZ8FYjWDcDFxbGF6fQoWA4Cde2ZMF/blCQOQmX22Tp1gN8uWYPS7cewOUO0P/3IiLiEz4dmZk5cyY9evRg+PDh3HjjjZimybp167z7XS4XHTp0oHr16ixevJgDBw5w3333YZomY8eOBSA3N5c2bdrQqlUrVqxYwaZNm+jevTvh4eEMGDDAl+2XrsP7Ye5AWD8LgE3uC3m86GF2V0nijbuTaZ8c5+cGy6d5qRkMnbOBDGe+d1ucPZTBKUk6ZiIiAoBh+miIo7i4mFq1ajF06FAeeOCBk9Z88803dOzYkV27dhEfHw/A9OnT6d69O1lZWURGRjJ+/HgGDRrE3r17sdlsALz88suMHTuW3bt3YxjG3/aSm5uL3W7H6XQSGRlZeh/yTJimJ8DMHQhHDnhHY94svp02dS7ihVuvptoFtrLtKUDMS82g17RVHP8Leuz/+Phu9RVoREQqsDP9/vbZaaZVq1axZ88eLBYL9erVIy4ujptvvpn169d7a5YuXUpycrI3yAC0a9eOgoICVq5c6a1p0aKFN8gcq0lPT2f79u0nfe+CggJyc3NLPPziUBZ8ei989v/gyAH+dCdwa8ELTAzpxuiujXjrnvoKMqfgcpsMnbPhhCADeLcNnbNBp5xERMR3YWbbtm0ADBkyhGeffZavvvqKqKgoWrRoQXZ2NgCZmZnExpacIxIVFUVISAiZmZmnrDn287Ga440YMQK73e59JCQklOpn+1umCb/P8MyN+WMOxVh5o/h2UgqHcWFSE+b/pwUdr4n/+9epxJanZZc4tXQ8E8hw5rM8LbvsmhIRkXLprMPMkCFDMAzjtI/ffvsNt9sNwDPPPMMdd9xBgwYNmDRpEoZhMGPGDO/rnew0kWmaJbYfX3PszNipTjENGjQIp9PpfezatetsP+a5y8uE6V3h8wfhaA4bzFp0KniR/wZ34dW7G/JOtwZUj9BozN/Jyjt1kDmXOhERqbjOegJw3759ufvuu09bU6tWLfLy8gBISkrybrfZbFxyySXs3Om5A7TD4WDZsmUlnpuTk0NRUZF39MXhcJwwApOVlQVwwojNX9/nr6elyoRpwtrpMO9JyHdSRBBvFt3GeFcnWl4Vz+R/1qFGZGjZ9hTAakSc2bE60zoREam4zjrMxMTEEBPz93dsbtCgATabjY0bN9K8eXMAioqK2L59OxdffDEATZo0YdiwYWRkZBAX55nIOX/+fGw2Gw0aNPDWPP300xQWFhISEuKtiY+Pp1atWmfbvm/kpsOcfrD5WwDWmZcwsPAh0m2X8MrtV3N7/QvPaKKy/E+jxGji7KFkOvNPOm/GABz2UBolRpd1ayIiUs74bM5MZGQkPXv2ZPDgwcyfP5+NGzfSq1cvADp37gxA27ZtSUpK4t5772X16tV8//33DBw4kB49enhnLXft2hWbzUb37t1JTU1l1qxZDB8+nP79+/s/IJgmrJ4Gb/0DNn9LEUGMLLqL2wqGEnd5Axb8pwV3NKjp/z4DkNViMDjFM6p3/NE79vPglCSsFh1bEZHKzqfrzIwaNYqgoCDuvfdejh49SuPGjfnhhx+IiooCwGq18vXXX9O7d2+aNWtGWFgYXbt25dVXX/W+ht1uZ8GCBfTp04eGDRsSFRVF//796d+/vy9bPzNf9Ia1HwGw1ryUAYUPszekFiNuS6JzQ4WY89U+OY7x3eqfsM6MQ+vMiIjIX/hsnZnyxFfrzGQt/4yqc3vyatG/mOi6haa1Y3n5jmu4sGpYqb2HeC7TXp6WTVZePjUiPKeWNCIjIlLxnen3t+7NdB6e+bMWa/Nf53BIDC92SqJLowSNxviA1WLQ5NJq/m5DRETKKYWZ8zC009UMBp7vmERCdBV/tyMiIlIpKcych/iqYbz374b+bkNERKRS8/lds0VERER8SWFGREREAprCjIiIiAQ0hRkREREJaAozIiIiEtAUZkRERCSgKcyIiIhIQFOYERERkYCmMCMiIiIBTWFGREREAprCjIiIiAQ0hRkREREJaAozIiIiEtAqxV2zTdMEIDc318+diIiIyJk69r197Hv8VCpFmMnLywMgISHBz52IiIjI2crLy8Nut59yv2H+XdypANxuN+np6URERGAYhr/b8bvc3FwSEhLYtWsXkZGR/m6nwtJxLhs6zmVDx7ls6DiXZJomeXl5xMfHY7GcemZMpRiZsVgs1KxZ099tlDuRkZH6w1IGdJzLho5z2dBxLhs6zv9zuhGZYzQBWERERAKawoyIiIgENIWZSshmszF48GBsNpu/W6nQdJzLho5z2dBxLhs6zuemUkwAFhERkYpLIzMiIiIS0BRmREREJKApzIiIiEhAU5gRERGRgKYwIyIiIgFNYaYSKigooG7duhiGwZo1a0rs27lzJykpKYSHhxMTE8Ojjz5KYWGhfxoNUNu3b+eBBx4gMTGRsLAwLr30UgYPHnzCcdSxPn9vv/02iYmJhIaG0qBBA37++Wd/txTQRowYwXXXXUdERAQ1atTgtttuY+PGjSVqTNNkyJAhxMfHExYWRsuWLVm/fr2fOq4YRowYgWEY9OvXz7tNx/nsKMxUQk888QTx8fEnbHe5XHTo0IHDhw+zePFipk+fzsyZMxkwYIAfugxcf/75J263m3fffZf169czZswY3nnnHZ5++mlvjY71+fvkk0/o168fzzzzDKtXr+b666/n5ptvZufOnf5uLWAtXLiQPn368Ouvv7JgwQKKi4tp27Ythw8f9taMHDmS0aNHM27cOFasWIHD4aBNmzbeG/rK2VmxYgUTJkzgmmuuKbFdx/ksmVKpzJ0717zyyivN9evXm4C5evXqEvssFou5Z88e77aPP/7YtNlsptPp9EO3FcfIkSPNxMRE78861uevUaNGZs+ePUtsu/LKK82nnnrKTx1VPFlZWSZgLly40DRN03S73abD4TBffvllb01+fr5pt9vNd955x19tBqy8vDyzdu3a5oIFC8wWLVqYjz32mGmaOs7nQiMzlcjevXvp0aMHU6dOpUqVKifsX7p0KcnJySVGbdq1a0dBQQErV64sy1YrHKfTSXR0tPdnHevzU1hYyMqVK2nbtm2J7W3btmXJkiV+6qricTqdAN7f3bS0NDIzM0scd5vNRosWLXTcz0GfPn3o0KEDrVu3LrFdx/nsVYq7Zovn/Gv37t3p2bMnDRs2ZPv27SfUZGZmEhsbW2JbVFQUISEhZGZmllGnFc/WrVsZO3Ysr732mnebjvX52b9/Py6X64RjGBsbq+NXSkzTpH///jRv3pzk5GQA77E92XHfsWNHmfcYyKZPn86qVatYsWLFCft0nM+eRmYC3JAhQzAM47SP3377jbFjx5Kbm8ugQYNO+3qGYZywzTTNk26vbM70WP9Veno67du3p3Pnzjz44IMl9ulYn7/jj5WOX+np27cvv//+Ox9//PEJ+3Tcz8+uXbt47LHHmDZtGqGhoaes03E+cxqZCXB9+/bl7rvvPm1NrVq1eOmll/j1119PuHlZw4YNueeee5gyZQoOh4Nly5aV2J+Tk0NRUdEJ/0KojM70WB+Tnp5Oq1ataNKkCRMmTChRp2N9fmJiYrBarSeMwmRlZen4lYJHHnmE2bNns2jRImrWrOnd7nA4AM/IQVxcnHe7jvvZWblyJVlZWTRo0MC7zeVysWjRIsaNG+e9gkzH+Sz4cb6OlKEdO3aY69at8z6+/fZbEzA/++wzc9euXaZp/m9Sanp6uvd506dP16TUc7B7926zdu3a5t13320WFxefsF/H+vw1atTI7NWrV4ltV111lSYAnwe322326dPHjI+PNzdt2nTS/Q6Hw3zllVe82woKCjQx9Szl5uaW+Pt43bp1ZsOGDc1u3bqZ69at03E+BwozlVRaWtoJVzMVFxebycnJ5k033WSuWrXK/O6778yaNWuaffv29V+jAWjPnj3mZZddZt54443m7t27zYyMDO/jGB3r8zd9+nQzODjYnDhxorlhwwazX79+Znh4uLl9+3Z/txawevXqZdrtdvOnn34q8Xt75MgRb83LL79s2u128/PPPzfXrVtndunSxYyLizNzc3P92Hng++vVTKap43y2FGYqqZOFGdP0jOB06NDBDAsLM6Ojo82+ffua+fn5/mkyQE2aNMkETvr4Kx3r8/fWW2+ZF198sRkSEmLWr1/fewmxnJtT/d5OmjTJW+N2u83BgwebDofDtNls5g033GCuW7fOf01XEMeHGR3ns2OYpmn64eyWiIiISKnQ1UwiIiIS0BRmREREJKApzIiIiEhAU5gRERGRgKYwIyIiIgFNYUZEREQCmsKMiIiIBDSFGREREQloCjMiIiIS0BRmREREJKApzIiIiEhA+/+el+zEOwDExQAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 33
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": "matplotlib 柱状图 饼图",
   "id": "9448776bcf4273ac"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-06-25T03:13:31.501048Z",
     "start_time": "2025-06-25T03:13:31.450105Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import  numpy as np\n",
    "\n",
    "x=['food','water','shirt','book']\n",
    "y=[22,44,66,33]\n",
    "\n",
    "\n",
    "plt.title(\"xxx\")\n",
    "plt.xlabel(\"material\")\n",
    "plt.ylabel(\"quantity\")\n",
    "plt.bar(x,y,color='green')\n",
    "plt.show()"
   ],
   "id": "2c3b3fbb41cbcc63",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 37
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-06-25T03:16:02.647250Z",
     "start_time": "2025-06-25T03:16:02.609125Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import  numpy as np\n",
    "x=['food','water','shirt','book']\n",
    "y=[22,44,66,33]\n",
    "\n",
    "\n",
    "plt.title(\"xxx\")\n",
    "plt.pie(y,labels=x ,wedgeprops={'width':0.6})\n",
    "plt.show()"
   ],
   "id": "44e56e286829368d",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 40
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
